TSTP Solution File: SET261-6 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET261-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aDrihu9UZC true
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 16:13:37 EDT 2023
% Result : Unsatisfiable 1.66s 0.90s
% Output : Refutation 1.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET261-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aDrihu9UZC true
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 13:29:18 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.19/0.65 % Total configuration time : 435
% 0.19/0.65 % Estimated wc time : 1092
% 0.19/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.40/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.66/0.90 % Solved by fo/fo6_bce.sh.
% 1.66/0.90 % BCE start: 113
% 1.66/0.90 % BCE eliminated: 1
% 1.66/0.90 % PE start: 112
% 1.66/0.90 logic: eq
% 1.66/0.90 % PE eliminated: 19
% 1.66/0.90 % done 275 iterations in 0.199s
% 1.66/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.66/0.90 % SZS output start Refutation
% 1.66/0.90 thf(universal_class_type, type, universal_class: $i).
% 1.66/0.90 thf(null_class_type, type, null_class: $i).
% 1.66/0.90 thf(domain_of_type, type, domain_of: $i > $i).
% 1.66/0.90 thf(member_type, type, member: $i > $i > $o).
% 1.66/0.90 thf(complement_type, type, complement: $i > $i).
% 1.66/0.90 thf(singleton_type, type, singleton: $i > $i).
% 1.66/0.90 thf(intersection_type, type, intersection: $i > $i > $i).
% 1.66/0.90 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.66/0.90 thf(restrict_type, type, restrict: $i > $i > $i > $i).
% 1.66/0.90 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.66/0.90 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 1.66/0.90 thf(regular_type, type, regular: $i > $i).
% 1.66/0.90 thf(not_subclass_members1, axiom,
% 1.66/0.90 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 1.66/0.90 thf(zip_derived_cl1, plain,
% 1.66/0.90 (![X0 : $i, X1 : $i]:
% 1.66/0.90 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.66/0.90 | (subclass @ X0 @ X1))),
% 1.66/0.90 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.66/0.90 thf(intersection1, axiom,
% 1.66/0.90 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 1.66/0.90 thf(zip_derived_cl20, plain,
% 1.66/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.66/0.90 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 1.66/0.90 inference('cnf', [status(esa)], [intersection1])).
% 1.66/0.90 thf(zip_derived_cl559, plain,
% 1.66/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.66/0.90 ( (subclass @ (intersection @ X1 @ X0) @ X2)
% 1.66/0.90 | (member @
% 1.66/0.90 (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @ X1))),
% 1.66/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl20])).
% 1.66/0.90 thf(regularity1, axiom,
% 1.66/0.90 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 1.66/0.90 thf(zip_derived_cl65, plain,
% 1.66/0.90 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.66/0.90 inference('cnf', [status(esa)], [regularity1])).
% 1.66/0.90 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 1.66/0.90 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 1.66/0.90 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 1.66/0.90 thf(subclass_members, axiom,
% 1.66/0.90 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.66/0.90 thf(zip_derived_cl0, plain,
% 1.66/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.66/0.90 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 1.66/0.90 inference('cnf', [status(esa)], [subclass_members])).
% 1.66/0.90 thf(zip_derived_cl494, plain,
% 1.66/0.90 (![X0 : $i, X1 : $i]:
% 1.66/0.90 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.66/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.66/0.90 thf(zip_derived_cl524, plain,
% 1.66/0.90 (![X0 : $i]:
% 1.66/0.90 (((X0) = (null_class)) | (member @ (regular @ X0) @ universal_class))),
% 1.66/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl494])).
% 1.66/0.90 thf(zip_derived_cl65, plain,
% 1.66/0.90 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.66/0.90 inference('cnf', [status(esa)], [regularity1])).
% 1.66/0.90 thf(complement1, axiom,
% 1.66/0.90 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 1.66/0.90 thf(zip_derived_cl23, plain,
% 1.66/0.90 (![X0 : $i, X1 : $i]:
% 1.66/0.90 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.66/0.90 inference('cnf', [status(esa)], [complement1])).
% 1.66/0.90 thf(zip_derived_cl527, plain,
% 1.66/0.90 (![X0 : $i]:
% 1.66/0.90 (((complement @ X0) = (null_class))
% 1.66/0.90 | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 1.66/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])).
% 1.66/0.90 thf(zip_derived_cl555, plain,
% 1.66/0.90 ((((complement @ universal_class) = (null_class))
% 1.66/0.90 | ((complement @ universal_class) = (null_class)))),
% 1.66/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl524, zip_derived_cl527])).
% 1.66/0.90 thf(zip_derived_cl556, plain,
% 1.66/0.90 (((complement @ universal_class) = (null_class))),
% 1.66/0.90 inference('simplify', [status(thm)], [zip_derived_cl555])).
% 1.66/0.90 thf(zip_derived_cl23, plain,
% 1.66/0.90 (![X0 : $i, X1 : $i]:
% 1.66/0.90 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.66/0.90 inference('cnf', [status(esa)], [complement1])).
% 1.66/0.90 thf(zip_derived_cl557, plain,
% 1.66/0.90 (![X0 : $i]:
% 1.66/0.90 (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 1.66/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl556, zip_derived_cl23])).
% 1.66/0.90 thf(zip_derived_cl494, plain,
% 1.66/0.90 (![X0 : $i, X1 : $i]:
% 1.66/0.90 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.66/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.66/0.90 thf(zip_derived_cl563, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 1.66/0.90 inference('clc', [status(thm)], [zip_derived_cl557, zip_derived_cl494])).
% 1.66/0.90 thf(zip_derived_cl1459, plain,
% 1.66/0.90 (![X0 : $i, X1 : $i]: (subclass @ (intersection @ null_class @ X1) @ X0)),
% 1.66/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl559, zip_derived_cl563])).
% 1.66/0.90 thf(zip_derived_cl1, plain,
% 1.66/0.90 (![X0 : $i, X1 : $i]:
% 1.66/0.90 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.66/0.90 | (subclass @ X0 @ X1))),
% 1.66/0.90 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.66/0.90 thf(zip_derived_cl563, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 1.66/0.90 inference('clc', [status(thm)], [zip_derived_cl557, zip_derived_cl494])).
% 1.66/0.90 thf(zip_derived_cl564, plain, (![X0 : $i]: (subclass @ null_class @ X0)),
% 1.66/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl563])).
% 1.66/0.90 thf(subclass_implies_equal, axiom,
% 1.66/0.90 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 1.66/0.90 thf(zip_derived_cl6, plain,
% 1.66/0.90 (![X0 : $i, X1 : $i]:
% 1.66/0.90 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 1.66/0.90 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 1.66/0.90 thf(zip_derived_cl572, plain,
% 1.66/0.90 (![X0 : $i]: (~ (subclass @ X0 @ null_class) | ((null_class) = (X0)))),
% 1.66/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl564, zip_derived_cl6])).
% 1.66/0.90 thf(zip_derived_cl1492, plain,
% 1.66/0.90 (![X0 : $i]: ((null_class) = (intersection @ null_class @ X0))),
% 1.66/0.90 inference('s_sup-', [status(thm)],
% 1.66/0.90 [zip_derived_cl1459, zip_derived_cl572])).
% 1.66/0.90 thf(zip_derived_cl65, plain,
% 1.66/0.90 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.66/0.90 inference('cnf', [status(esa)], [regularity1])).
% 1.66/0.90 thf(domain1, axiom,
% 1.66/0.90 (( ( restrict @ X @ ( singleton @ Z ) @ universal_class ) != ( null_class ) ) |
% 1.66/0.90 ( ~( member @ Z @ ( domain_of @ X ) ) ))).
% 1.66/0.90 thf(zip_derived_cl29, plain,
% 1.66/0.90 (![X0 : $i, X1 : $i]:
% 1.66/0.90 (((restrict @ X0 @ (singleton @ X1) @ universal_class) != (null_class))
% 1.66/0.90 | ~ (member @ X1 @ (domain_of @ X0)))),
% 1.66/0.90 inference('cnf', [status(esa)], [domain1])).
% 1.66/0.90 thf(zip_derived_cl528, plain,
% 1.66/0.90 (![X0 : $i]:
% 1.66/0.90 (((domain_of @ X0) = (null_class))
% 1.66/0.90 | ((restrict @ X0 @ (singleton @ (regular @ (domain_of @ X0))) @
% 1.66/0.90 universal_class) != (null_class)))),
% 1.66/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl29])).
% 1.66/0.90 thf(restriction1, axiom,
% 1.66/0.90 (( intersection @ Xr @ ( cross_product @ X @ Y ) ) =
% 1.66/0.90 ( restrict @ Xr @ X @ Y ))).
% 1.66/0.90 thf(zip_derived_cl27, plain,
% 1.66/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.66/0.90 ((intersection @ X0 @ (cross_product @ X1 @ X2))
% 1.66/0.90 = (restrict @ X0 @ X1 @ X2))),
% 1.66/0.90 inference('cnf', [status(esa)], [restriction1])).
% 1.66/0.90 thf(zip_derived_cl693, plain,
% 1.66/0.90 (![X0 : $i]:
% 1.66/0.90 (((domain_of @ X0) = (null_class))
% 1.66/0.90 | ((intersection @ X0 @
% 1.66/0.90 (cross_product @ (singleton @ (regular @ (domain_of @ X0))) @
% 1.66/0.90 universal_class))
% 1.66/0.90 != (null_class)))),
% 1.66/0.90 inference('demod', [status(thm)], [zip_derived_cl528, zip_derived_cl27])).
% 1.66/0.90 thf(zip_derived_cl1506, plain,
% 1.66/0.90 ((((domain_of @ null_class) = (null_class))
% 1.66/0.90 | ((null_class) != (null_class)))),
% 1.66/0.90 inference('s_sup-', [status(thm)],
% 1.66/0.90 [zip_derived_cl1492, zip_derived_cl693])).
% 1.66/0.90 thf(zip_derived_cl1508, plain, (((domain_of @ null_class) = (null_class))),
% 1.66/0.90 inference('simplify', [status(thm)], [zip_derived_cl1506])).
% 1.66/0.90 thf(prove_domain_of_null_class_1, conjecture,
% 1.66/0.90 (( domain_of @ null_class ) = ( null_class ))).
% 1.66/0.90 thf(zf_stmt_0, negated_conjecture,
% 1.66/0.90 (( domain_of @ null_class ) != ( null_class )),
% 1.66/0.90 inference('cnf.neg', [status(esa)], [prove_domain_of_null_class_1])).
% 1.66/0.90 thf(zip_derived_cl112, plain, (((domain_of @ null_class) != (null_class))),
% 1.66/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.66/0.90 thf(zip_derived_cl1509, plain, ($false),
% 1.66/0.90 inference('simplify_reflect-', [status(thm)],
% 1.66/0.90 [zip_derived_cl1508, zip_derived_cl112])).
% 1.66/0.90
% 1.66/0.90 % SZS output end Refutation
% 1.66/0.90
% 1.66/0.90
% 1.66/0.90 % Terminating...
% 1.91/0.95 % Runner terminated.
% 1.91/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------